Consider the following distance matrix between $9$ observations:

Apply the K$-$means algorithm to cluster these observations into two clusters starting from $E$ and $F$ as initial centers.

Write the execution steps of the K$-$means algorithm mentioning the cluster center and the cluster elements at each iteration.

Iteration $1$:

Cluster $($group$)1$:

Center: E $(5,2)$

Elements: $...,....$

Cluster $($group$)2$:

Center: F $(5,3)$

Elements: $...,...$

$================$ Iteration $2$: Cluster $($group$)1$:

Center: CG$1(dots,$dots$)$

Elements: $...,....$

Cluster $($group$)2$:

Center: CG$2(dots,$dots$)$

Elements: $...,...$

Iteration $3$:

Cluster $($group$)1$:

Center: CG$1(dots,$dots$)$

Elements: $....,....$

Cluster $($group$)2$:

Center: CG$2(...,....)$

Elements: $...,....$

STOP